On Characteristic Polynomials of the Family of Cobweb Posets

Abstract

This note is a response to one of problems posed by A.K. Kwasniewski in one of his recent papers. Namely for the sequence of finite cobweb subposets, the looked for explicit formulas for corresponding sequence of characteristic polynomials are discovered and delivered here. The recurrence relation defining arbitrary family of charactristic polynomials of finite cobweb posets is also derived.

7 pages, 1 figure

References in corpus (1)

• First Observations on Prefab Posets Whitney Numbers

Cited by in corpus (5)

• On incidence algebras description of cobweb posets
• On Cobweb Posets and Discrete F-Boxes Tilings
• On cobweb posets most relevant codings
• Reduced Incidence algebras description of cobweb posets and KoDAGs
• On natural join of posets properties and first applications